Skip to main content
Log in

Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. É. Yu. Emel'yanov, “The order and regular hulls of Riesz spaces,” Sibirsk. Mat. Zh.,35, No. 6, 1243–1252 (1994).

    Google Scholar 

  2. A. G. Kusraev, Vector Duality and Its Applications [in Russian], Nauka, Novosibirsk (1985).

    Google Scholar 

  3. A. G. Kusraev and V. Z. Strizhevskii, “Lattice-normed spaces and dominated operators,” in: Studies on Geometry and Functional Analysis [in Russian], Trudy Inst. Mat. Vol. 7 (Novosibirsk), Novosibirsk, 1987, pp. 56–102.

  4. A. G. Kusraev, “Linear operators in lattice-normed spaces,” in: Studies on Geometry in the Large and Mathematical Analysis [in Russian], Trudy Inst. Mat. Vol. 9 (Novosibirsk), Novosibirsk, 1987, pp. 84–123.

  5. A. G. Kusraev and S. A. Malyugin, Some Questions of Vector Measure Theory [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1988).

    Google Scholar 

  6. A. G. Kusraev and S. S. Kutateladze, “Nonstandard theory of vector lattices,” in: Vector Lattices and Integral Operators [in Russian], Nauka, Novosibirsk, 1992, pp. 5–67.

    Google Scholar 

  7. S. Albeverio, J. E. Fenstad et al., Nonstandard Methods in Stochastic Analysis and Mathematical Physics [Russian translation], Mir, Moscow (1990).

    Google Scholar 

  8. C. W. Henson and L. C. Moore Jr., Nonstandard Analysis and the Theory of Banach Spaces, Lecture Notes in Math.,983 (1983).

  9. W. A. J. Luxemburg and A. C. Zaanen, Riesz Spaces. Vol. 1, North-Holland, Amsterdam (1971).

    Google Scholar 

  10. A. C. Zaanen, Riesz Spaces. Vol. 2, North-Holland, Amsterdam (1983).

    Google Scholar 

  11. A. E. Gutman, “On a representation of lattice-normed spaces,” Sibirsk. Mat. Zh.,32, No. 2, 41–54 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Sibirskii Matematicheskii, Vol. 36, No. 1, pp. 72–85, January–February, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Emel'yanov, È.Y. Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces. Sib Math J 36, 66–77 (1995). https://doi.org/10.1007/BF02113920

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02113920

Navigation